Fixed point theorems for set-valued quasi-contraction maps in a G-metric space
Abstract
In this paper, we achieve a fixed point theorem for G-metric set-valued quasi-contraction maps in a G-metric space. The result was obtained using a similar approach to that used by Amini-Harandi [1] and it extends the set-valued fixed point theory from metric spaces to G-metric spaces.
Copyright © 2014 Matthew Brijesh Sookoo, Sreedhara Rao Gunakala. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. B. Sookoo, S. R. Gunakala, Fixed point theorems for set-valued quasi-contraction maps in a G-metric space, Adv. Fixed Point Theory 4 (2014), 491–508.
BibTeX
@article{Sookoo2014,
author = {Sookoo, Matthew Brijesh and Gunakala, Sreedhara Rao},
title = {Fixed point theorems for set-valued quasi-contraction maps in a G-metric space},
journal = {Adv. Fixed Point Theory},
volume = {4},
year = {2014},
pages = {491--508},
doi = {}
}